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Dot Product:
The dot or inner product of two vectors a and b is written as a • b and is defined as
In another words, this is like matrix multiplication when multiplying a row vector a by a column vector b; and the result is a scalar. This can be accomplished by using the * operator and transposing the second vector, or by using the dot function in a MATLAB:
>> vec1 = [4 2 5 1];
>> vec2 = [3 6 1 2];
>> vec1*vec2'
ans =
31
>> dot(vec1,vec2)
Function used in binary search: The function below implements this binary search algorithm. It receives two arguments: the sorted vector and a key (on the other hand, the func
. Generate the following signal, x(n)=1+cos((25*pi*n)/100),0 Compute the DTFT of x[n] for w=0:0.01:2*pi Plot the Real part, imaginary part, the amplitude and phas
Algorithm for expfn function: The algorithm for expfn function is as shown: receives the value of x as the input argument. Prints the value of exp(x). assigns a
Interchange rows : for illustration interchanging rows ri and rj is written as
Sound Files: The sound signal is an illustration of a continuous signal which is sampled to result in a discrete signal. In this situation, sound waves traveling through the a
Matrix definitions: As we know the matrix can be thought of as a table of values in which there are both rows and columns. The most common form of a matrix A (that is sometime
Reading from a File in a While Loop: Though in most languages the combination of a loop and an if statement would be essential to determine whether or not the elements in a ve
analyzing traffic; determine motion of flow; calculate tracklets; detect abnormalities;
function numden: The function numden will return individually the numerator & denominator of a symbolic expression: >> sym(1/3 + 1/2) ans = 5/6 >> [n, d] =
Use polyval to evaluate the derivative at xder. This will be the % slope of the tangent line, "a" (general form of a line: y = ax + b). % 4. Calculate the intercept, b, of t
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